Answer:
(a) 6
(b) 12
(c) 18
(d) The ratios are all equal.
Step-by-step explanation:
I assume that -5 goes with -11, -4 goes with -5, -3 goes with 1, etc.
(a) Look at the points (0, 19) and (1, 25). The inputs are 0 and 1, so the inputs are 1 unit apart since 1 - 0 = 1. Now look at the outputs. They are 19 and 25, and 25 - 19 = 6. The difference of outputs is 6 for a difference of inputs of 1.
(b) Look at points (0, 19) and (2, 31). The inputs are 2 units apart since 2 - 0 = 2. The outputs are 12 units apart since 31 - 19 = 12.
(c) Look at points (0, 19) and (3, 37). The inputs are 3 units apart since 3 - 0 = 0. The outputs are 18 units apart since 37 - 19 = 18.
(d) In part (a), with inputs 1 unit apart, the ratio of output difference to input difference was 6/1. In part (b), with inputs 2 units apart, the ratio of output difference to input difference was 12/2 which is the same as 6/1. In part (c), with inputs 3 units apart, the ratio of output difference to input difference was 18/3 which is the same as 6/1. The ratios are all equal.
